Question

A long current carrying conductor of length $l$ is placed in a uniform magnetic field strength $B$. If current in conductor is $i$ $A$, write down the formula of force exerted on current carrying conductor. What will be the maximum force? Write its direction.

Answer 1

Force on the current carrying conductor place in a uniform magnetic field is given by,

$F=I\times Bl=IBsin\theta l$

where $\theta$ is the angle between $I$ and $B$ vector,

For maximum force $sin\theta =1$,

$\therefore F_{max}=IBl$

Force $F$ is always perpendicular to the plane containing $I$ and $B$ and its direction is given by right hand rule for cross product $I\times B$.